​how can you solve a compound inequality?

Algebra
Tutor: None Selected Time limit: 1 Day

how do i solve a compound inequality

Sep 10th, 2015

Thank you for the opportunity to help you with your question!

The secret is to solve the same way as if they are not equalities just as you would do for normal algebraic equation when solving for an unkown

eg

5x+4 > 2-x

5x+x> -2-4

6x> -6

6/6x> -6/6

x>-1

example 2

-3< 2x-1 < 5

for this you first separate it to two equations

 eq 1....

-3 <2x-1

-3+1<2x

-2<2x

-1<x

eq 2

2x-1 <5

2x<5+1

2x<6

x<3

Solutions are

-1<x and x<3

joining gives

-1 <x<3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 10th, 2015

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